Invariant Semantic Geometry

Invariant Semantic Geometry develops the geometric structure of meaning as a stable, basin-preserving invariant induced by observer fields and admissible projection operators. The paper shows that semantic content is not a symbolic construct but a geometric projection that must remain stable under operator evolution, curvature pressure, drift forces, and gate activation. Semantic invariants arise from observer–projection compatibility and are maintained only when admissible transformations preserve basin structure and direction continuity. The paper demonstrates that semantic geometry is strictly induced by invariant observer geometry, completing the semantic layer of the Einsteinian Stack.